摘要
为了对现代测绘数据处理中参数估计系统的Ⅱ类病态性[1]进行诊断,利用观测结构分析方法解决了观测有效性的分析问题。通过对观测矩阵的QR分解,将观测结构的分析过渡到对R矩阵的分析,提出了相对体积法,方法几何意义明确。算例表明,该方法能够准确度量参数估计系统的Ⅱ类病态性程度,是一种对Ⅱ类病态性进行定量诊断的新方法。
In order to diagnose the Ⅱ ill-conditioning of the parameter estimation system in the modem surveying and mapping data processing, the effectiveness of observation was analyzed using observation structure in the paper. Through the QR decomposition of observation matrix and transition of the analysis of the observation structure to the analysis of the R matrix, it proposed relative-volume method and explained its geometry. Examples showed that this method could accurately measure the Ⅱ ill-conditioning of parameter estimation system and would be a referential method for quantitative diagnosis of Ⅱ ill-conditioning.
出处
《测绘科学》
CSCD
北大核心
2011年第4期92-94,共3页
Science of Surveying and Mapping
基金
国家自然科学基金资助项目(40474005)
关键词
QR分解
观测结构
Ⅱ类病态性
观测有效性
相对体积法
QR decomposition
observation structure
Ⅱ ill-conditioning
effectiveness of observation
relative-volume method
